# Method for solving the adjoint equations

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 June 12, 2011, 21:31 Method for solving the adjoint equations #1 Senior Member   Fumiya Nozaki Join Date: Jun 2010 Location: Yokohama, Japan Posts: 169 Rep Power: 7 Hi, I have run several cases and found it difficult to obtain a converged solution of the adjoint N-S equations. I think it is related to the adjoint transpose convection term. I use the SIMPLE algorithm to couple the adjoint velocity and pressure. What should I do to improve convergence of the adjoint equations? Any information, however small, would be appreciated. Best regards, fumiya

 June 13, 2011, 00:18 #2 New Member   Felipe Hernandez Join Date: Apr 2011 Posts: 13 Rep Power: 6 First, check that you should get a solution that converges. For high Re, (even about 40 in some cases), you would get a time-dependent solution. To check that it works for low Re, increase the viscosity, decrease the velocity, etc. If this doesn't work, there is a problem. I don't know much about the SIMPLE algorithm, but if it involves solving a system of equations, try using a pre-conditioner. Without a pre-conditioner, I was not able to get a good result quickly. I implemented the gauss-siedel conditioner and it works like a charm. (Though maybe I should use SSOR!) Good luck!

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